Заглавная страница Избранные статьи Случайная статья Познавательные статьи Новые добавления Обратная связь КАТЕГОРИИ: Археология Биология Генетика География Информатика История Логика Маркетинг Математика Менеджмент Механика Педагогика Религия Социология Технологии Физика Философия Финансы Химия Экология ТОП 10 на сайте Приготовление дезинфицирующих растворов различной концентрации Техника нижней прямой подачи мяча. Франко-прусская война (причины и последствия) Организация работы процедурного кабинета Смысловое и механическое запоминание, их место и роль в усвоении знаний Коммуникативные барьеры и пути их преодоления Обработка изделий медицинского назначения многократного применения Образцы текста публицистического стиля Четыре типа изменения баланса Задачи с ответами для Всероссийской олимпиады по праву Мы поможем в написании ваших работ! ЗНАЕТЕ ЛИ ВЫ? Влияние общества на человека Приготовление дезинфицирующих растворов различной концентрации Практические работы по географии для 6 класса Организация работы процедурного кабинета Изменения в неживой природе осенью Уборка процедурного кабинета Сольфеджио. Все правила по сольфеджио Балочные системы. Определение реакций опор и моментов защемления	Главная Избранные Случайная статья Познавательные Новые добавления Обратная связь FAQ Ex.2. Answer the following questions. ⇐ ПредыдущаяСтр 17 из 24Следующая ⇒ 1. What line is called the line of nodes? 2. What do the changes  in angle j, angle y and angle q   indicate respectively? 3. What is the formulation of the theorem of Euler-d’Alembert? 4. How can we represent the displacement of a body’s position in an elementary time interval? 5. What does a rotation through angle dj about axis Oz impart to the body? 6. What axis is called the instantaneous axis of rotation? 7. What are the velocities of all points of the body lying on the instantaneous axis of rotation? 8. What is the motion of a rigid body about a fixed point compounded of?   Ex.3. Say whether the following statements are True or False. 1. The change in angle j indicates a rotation of the body around the line of nodes OK  (nutation). 2. The displacement of a body  in a time interval dt is  a series of rotations through angles dj,dy  and dq   about axes Oz, Oz1,and OK, respectively. 3. Both, the fixed and the instantaneous axes of rotation con­tinuously change their directions in space and in the body. 4. Vector w of the angular velocity is directed along axis OP. 5. The  tip A of the angular velocity describes a straight line in space. 6. The direction of  vector e of angular acceleration   coincides with the direction of vector w of the angular velocity.   Ex.4. Complete the following sentences with the information from the text. 1. We assume the body is rigidly attached to…… 2. The line of nodes is…. 3. The displacement of a body in an elementary time interval dt can be represented….. 4. The body's elementary displacement resulting from the rotations about axes Oz and Oz 1…. 5. An elementary rotation of the body about instantaneous axis of rotation brings the body…… 6. The angular acceleration e can be computed…..   Ex. 5.   Match the verbs in the left column with the nouns in the right one, verbs and nouns can be used more than once. Verbs	Nouns
1	attach	a	the parameter
2	consider	b	a full picture
3	define	c	the body
4	determine	d	one fixed point
5	find	e	an elementary rotation
6	get	f	a rotation
7	have	g	by arrow
8	indicate	h	from celestial mechanics
9	represent	i	the direction
10	show	j	the position
11	take from	k	the resultant displacement
		l	law of motion

Ex.6. Fill in the following verbs  in the appropriate form and a correspondent preposition.

     Verbs:     give, compare, bring,  take, follow, coincide,  impart

     Prepositions:    to,  with,  into,  by,  from.

1. The direction of vector e does not ………that of vector w.

2. We can …….. this expression …..with the one evolved from the previous theorem.

3. The position of the trihedron Oxyz, and hence of the body, with respect to the axes Ox₁y_1,  is _{…………….} the angles j,  y and  q.

4.  The names for the Euler angles  are ………the celestial mechanics. 

5. A rotation through angle dj, about axis Oz ……any point of the body in the plane zOz ₁  an elemen­tary displacement perpendicular to the plane.

6. An elementary rotation of the body about the instantaneous axis of rotation …….the body ……..a neighbouring position infinitesimally close to the given position.

7. The rota­tion about  the instantaneous axis of rotation is ……….. a rotation about the new instantaneous axis of rotation.

Ex.7. Use the correct form of the word in bracket.

1. By the same …………(reason), the …………..(element) …………(rotate)  about axes OB and OK are ………..equivalent to an …………..(element) …………(rotate) about an axis OP through point 0. Axis OP is called the ……………(instant) axis of …………(rotate); an …………..(element) …………(rotate) of the body about it brings the body into a …………(neighbour) position infinitesimally close to the ………(give) position; the velocities of all points of the body …………(lie) on the……………(instant) axis of …………(rotate)  are zero. …….. (like)  a fixed axis, the ………………………(instant) axis of …………(rotate) ……….(con­tinue)  changes its ………(direct) in space and in the body.

2. …………(Specify), the …………(direct)  of e coincides with the ………… (direct)  of the tangent to curve AD at the ………..(respect)  point. Consequently, …….. (like) the case of …………(rotate) about a ……..(fix)  axis, the …………(direct) of vector e does not coincide with that of vector w.